7班数学
如果我们将一个分数的分子和分母同时相乘,得到的分数与前一个分数相似,相同或相等。这样的分数称为相似分数或相等分数。
我们取分数1/2。如果我们将分数的分子和分母同时乘以任何一个数;我们得到以下分数:
“1/2 = (1 xx2) / (2 xx2) = 2/4 '
“1/2 = (1 xx3) / (2 xx3) = 3/6 '
“1/2 = (1 xx4) / (2 xx4) = 4/8 '
“1/2 = (1 xx5) / (2 xx5) = (5) / (10) '
“1/2 = (1 xx6) / (2 xx6) = (6) / (12)
在这种情况下,所有的分数都是相似的,即都有相同的值。
' 1/2 = 2/4 = 3/6 ' ' = 4/8 = (5) / (10) = (6) / (12)
相似分数的数值相等。
类似的:
“2/3 = (2 xx2) / (3 xx2) = 4/6 '
“2/3 = (2 xx5) / (3 xx5) = (10) / (15)
“2/3 = (2 xx8) / (3 xx8) = (16) / (24)
“2/3 = (2 xx9) / (3 xx9) = (18) / (27) '
' 2/3 = 4/6 = (10) / (15) ' ' = (16) / (24) = (18) / (27)
因此,我们可以通过分子和分母乘以相同的数字来获得任何数量的分数。
同样地,如果分子和分母除以相同的数,我们会得到相似的分数。以下是一些例子:
”(40)/(60)=(40÷2)/(60÷2)= (20)/ (30)'
”(40)/(60)=(40÷4)/(60÷4)= (10)/ (15)
”(40)/(60)=(40÷10)/(60÷10)= (4)/ (6)'
”(40)/(60)=(40÷20)/(60÷20)= (2)/ (3)'
”(40)/ (60)= (20)/ (30)= (10)/ (15)= 4/6 = 2/3 '
问题1:通过将2和3相乘,得到下列各2个相似的分数。
2/3, 3/2, 5/9, 2/5, 2/7, 3/7,“(5)/(11),(5)/(13)、(3)/(11)’,‘(5)/ (21)
答:“2/3 = (2 xx4) / (3 xx4) = (8) / (12)
“2/3 = (2 xx5) / (3 xx5) = (10) / (15)
答:“3/2 = (3 xx4) / (2 xx4) = (12) / (8) '
“3/2 = (3 xx5) / (2 xx5) = (15) / (10) '
答:“5/9 = (5 xx4) / (9 xx4) = (20) / (36)
“5/9 = (5 xx5) / (9 xx5) = (25) / (45)
答:“2/5 = (2 xx4) / (5 xx4) = (8) / (20) '
“2/5 = (2 xx5) / (5 xx5) = (10) / (25)
答:“2/7 = (2 xx4) / (7 xx4) = (8) / (28)
“2/7 = (2 xx5) / (7 xx5) = (10) / (35)
答:“3/7 = (3 xx4) / (7 xx4) = (12) / (28)
“3/7 = (3 xx5) / (7 xx5) = (15) / (35)
答:“5/11 = (5 xx4) / (11 xx4) = (20) / (44)
“5/11 = (5 xx5) / (11 xx5) = (25) / (55)
答:“5/13 = (5 xx4) / (13 xx4) = (20) / (52)
“5/13 = (5 xx5) / (13 xx5) = (25) / (65)
答:“3/11 = (3 xx4) / (11 xx4) = (12) / (44)
“3/11 = (3 xx5) / (11 xx5) = (15) / (55)
答:“5/21 = (5 xx4) / (21 xx4) = (20) / (84)
“5/21 = (5 xx5) / (21 xx5) = (25) / (105) '
问题2:得到相似的分数除以2。
2/4, 6/8,(12) /(10)’,‘(20)/(30),(40)/(60),(4)/(10)’,‘(16)/(40),(20)/(100)、(14)/ (44),(8)/ (20)'
答:“2/4 =(2)÷2)/(4÷2)= 1/2”
答:“6/8 =(6÷2)/(8÷2)= 3/4”
答:”(12)/(10)=(12÷2)/(10÷2)= 6/5”
答:'(20) /(30) =(20÷2)/(30÷2)= (10)/ (15)
答:”(40)/(60)=(40÷2)/(60÷2)= (20)/ (30)'
答:(4) /(10) =(4÷2)/(10÷2)= (2)/ (5)'
答:”(16)/(40)=(16÷2)/(40÷2)= (8)/ (20)'
答:'(20) /(100) =(20÷2)/(100÷2)= (10)/ (50)
答:(14) /(44) =(14÷2)/(44÷2)= (7)/ (22)
答:”(8)/(20)=(8÷2)/(20÷2)= (4)/ (10)'
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